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Finding the Fourth Proportional to 12,324.74, 17,008.14 and 6,735.74

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Solution

The fourth proportional to 12,324.74, 17,008.14 and 6,735.74 is: 9,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.74 : 17,008.14 = 6,735.74 : x
  2. Step 2: Convert to fraction form
    12,324.74/17,008.14 = 6,735.74/x
  3. Step 3: Cross multiply
    12,324.74x = 17,008.14 × 6,735.74
  4. Step 4: Simplify right side
    12,324.74x = 114,562,408.92
  5. Step 5: Solve for x
    x = 114,562,408.92/12,324.74
  6. Step 6: Final answer
    x = 9,295.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.